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42512140 = 2251131597
BaseRepresentation
bin1010001000101…
…0111100001100
32221222211200201
42202022330030
541340342030
64115103244
71024230046
oct242127414
987884621
1042512140
1121aa7000
12122a1b24
138a66118
145908a96
153aeb2ca
hex288af0c

42512140 has 48 divisors (see below), whose sum is σ = 98257824. Its totient is φ = 15449280.

The previous prime is 42512137. The next prime is 42512153. The reversal of 42512140 is 4121524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25822 + ... + 27418.

It is an arithmetic number, because the mean of its divisors is an integer number (2047038).

Almost surely, 242512140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42512140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49128912).

42512140 is an abundant number, since it is smaller than the sum of its proper divisors (55745684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42512140 is a wasteful number, since it uses less digits than its factorization.

42512140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 42512140 is about 6520.1334342174. The cubic root of 42512140 is about 349.0098272288.

Adding to 42512140 its reverse (4121524), we get a palindrome (46633664).

The spelling of 42512140 in words is "forty-two million, five hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 1597 2420 2662 3194 5324 6388 6655 7985 13310 15970 17567 26620 31940 35134 70268 87835 175670 193237 351340 386474 772948 966185 1932370 2125607 3864740 4251214 8502428 10628035 21256070 42512140